All categories

2 years ago

18. Which of the following triangles is similar to APQR?

Mathematics

1 answer:

Naya [18.7K]2 years ago

5 0

Answer: D

Step-by-step explanation:

21/17.5 = 18/15

So the triangles are similar by SAS.

You might be interested in

Three vertices of parallelogram WZXY are W(-5, 2), X(2, 4) and Z(-7, -3). Find the coordinated of the vertex, Y.

Dominik [7]

Answer:

$Y = (4,9)$

Step-by-step explanation:

Given

$W(x_1,y_1) = (-5, 2)$

$Z(x_4,y_4) = (-7, -3)$

$X(x_2,y_2) = (2, 4)$

Required

Find Y

To do this, we make use of the mid-point formula

i.e.

$M = \frac{1}{2}(x_n+x_m,y_n+y_m})$

WX and ZY are the diagonals of the parallelogram.

The mid-point of WX is:

$M = \frac{1}{2}(-5+2,2+4)$

$M = \frac{1}{2}(-3,6)$

The mid-point of ZY is:

$M = \frac{1}{2}(-7+x,-3+y)$

Equate both values of M

$\frac{1}{2}(-3,6) = \frac{1}{2}(-7+x,-3+y)$

Multiply both sides by 2

$(-3,6) = (-7+x,-3+y)$

By comparison:

$-7 + x = -3$

$-3 + y = 6$

$-7 + x = -3$

$x = 7 -3$

$x = 4$

$-3 + y = 6$

$y = 6 +3$

$y = 9$

Hence:

$Y = (4,9)$

3 0

3 years ago

Lauryn grew p tomato plants. Padma grew 5 fewer than 3 times the number Lauryn grew. Kent grew 6 more than 4 times the number La

mojhsa [17]

Answer:

$T= 8p+1$

Step-by-step explanation:

Given :Lauryn grew p tomato plants. Padma grew 5 fewer than 3 times the number Lauryn grew. Kent grew 6 more than 4 times the number Lauryn grew.

To Find: a simplified expression to represent the total number of tomato plants that Lauryn, Padma, and Kent grew.

Solution :

Let total number of tomatoe plants be T

Since we are given that Lauryn grew tomato plants = p

We are also given that Padma grew 5 fewer than 3 times the number Lauryn grew.

⇒ $3p-5$

We are also given that Kent grew 6 more than 4 times the number Lauryn grew.

⇒ $4p+6$

So, total number of tomato plants :

⇒ $T= p+3p-5+4p+6$

⇒ $T= 8p+1$

Hence a simplified expression to represent the total number of tomato plants that Lauryn, Padma, and Kent grew is $T= 8p+1$

8 0

4 years ago

10p - (3p - 4) = 4(p + 1) + 9

andrezito [222]

Answer:

p = 3

Step-by-step explanation:

distribute parenthesis on both sides of the equation

10p - 3p + 4 = 4p + 4 + 9 ( simplify both sides )

7p + 4 = 4p + 13 ( subtract 4p from both sides )

3p + 4 = 13 ( subtract 4 from both sides )

3p = 9 ( divide both sides by 3 )

p = 3

6 0

3 years ago

Find the value of x for which a || b. Then find the measure of the labeled angles.

Alchen [17]

Answer:

The measure of the labeled angles is 135°

Step-by-step explanation:

we know that

if a || b

then

$(3x-27)\°=(2x+27)\°$ -----> by alternate exterior angles

Solve for x

$3x-2x=27+27$

$x=54$

Find the measure of the labeled angles

$(3(54)-27)\°=135\°$

6 0

3 years ago

A rental car company charges $40.18 per day to rent a car and $0.05 for every mile driven. Jacob wants to rent a car, knowing th

Harlamova29_29 [7]

Answer:

b) 270 ≥ 40.18d + 3.75

Step-by-step explanation:

Per day is a variable, so it's 40.18d

Per mile is also a variable so 0.05m

40.18d + 0.05m ≤ 270

40.18d + 0.05(75) ≤ 270

40.18d + 3.75 ≤ 270

5 0

3 years ago